126/125: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = starling comma, septimal semicomma | |||
| Color name = zg<sup>3</sup>2, zotrigu 2nd,<br>Zotrigu comma | |||
| Comma = yes | |||
| Name = | |||
| Color name = zg<sup>3</sup>2, zotrigu | |||
| | |||
}} | }} | ||
{{Wikipedia|Septimal semicomma}} | {{Wikipedia|Septimal semicomma}} | ||
The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 | The '''starling comma''' or '''septimal semicomma''', '''126/125''' (about 13.8 [[cent]]s), is the [[superparticular]] [[7-limit]] [[comma]] which is the difference between [[36/35]] (septimal quartertone) and [[50/49]] (jubilisma). In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced, [[25/18]]) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3's (octave-reduced) fall short of the [[7/6]] septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest [[Bohlen–Pierce]] intervals. | ||
== Temperaments == | == Temperaments == | ||
Tempering it out leads to the [[ | Tempering it out alone in the 7-limit leads to the [[starling]] temperament, and enables [[starling chords]]. See [[Starling family]] for the rank-3 temperament family where it is tempered out. See [[starling temperaments]] for a collection of rank-2 temperaments where it is tempered out. | ||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Starling]] | [[Category:Starling]] | ||
[[Category: | [[Category:Commas named after musical traditions]] | ||
Latest revision as of 18:20, 13 March 2025
| Interval information |
septimal semicomma
Zotrigu comma
reduced
The starling comma or septimal semicomma, 126/125 (about 13.8 cents), is the superparticular 7-limit comma which is the difference between 36/35 (septimal quartertone) and 50/49 (jubilisma). In terms of just intervals, it is the amount by which 12/7 falls short of three 6/5 minor thirds. It is also the amount by which two 5/3 major sixths (octave-reduced, 25/18) fall short of the 7/5 tritone, and the amount by which three 5/3's (octave-reduced) fall short of the 7/6 septimal minor third. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.
Temperaments
Tempering it out alone in the 7-limit leads to the starling temperament, and enables starling chords. See Starling family for the rank-3 temperament family where it is tempered out. See starling temperaments for a collection of rank-2 temperaments where it is tempered out.